Answer:
x > 3/5
Step-by-step explanation:
x > 3/5 has an open circle because 3/5 is not included
if it was x ≥ 3/5 then that would include 3/5 and the circle would be closed
6x+6=8x
-6x -6x
-----
6=2x
6 divided by 2
x=3
According to the definition of a function, since every element in the domain should be mapped to a single element in the codomain, the output of -2 should be either 2 or -1 but not both.
Note that the other elements in the domain have unique images.
So, to make the mapping a function, we need to remove (-2, 2) or (-2, -1).
Of these, (-2, -1) is only given in the options.
Hence, the ordered pair to be removed is (-2, -1).
Answer:
P=18
Step-by-step explanation:
The formula given is P=2L+2W
so, multiply the length and width by 2:
6×2=12
3×2=6
now, add 6 and 12:
6+12= <u>18</u>
Hope this helps!! <3
Answer:
Puppy Liz runs 34.61 ft.
Step-by-step explanation:
From the figure we can extract two triangles: one with angle 34° and adjacent 40ft, the other with angle 34°+23° and adjacent 40ft.
Let us call the distance from the pole to the fire hydrant , and the distance from the pole to the bench , then the distance from the fire hydrant to the bench is
which is the distance the Puppy Liz runs.
Now, from trigonometry we have
and
Therefore, the distance Puppy Liz runs is